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arXiv · 2512.03213

Finding equations of the fake projective plane $(C18,p=3,\{2I\})$

Lev Borisov·Bojue Wang
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Abstract

We find explicit equations of a new pair of fake projective planes, labeled by $(C18,p=3,\{2I\})$ in the Cartwright-Steger classification. Our method involves starting with known equations of a commensurable fake projective plane $(C18,p=3,\emptyset,d_3 D_3)$ and working through a chain of cyclic covers and quotients to get to the new one.

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Lev Borisov, Bojue Wang. 2025-12-02. Finding equations of the fake projective plane $(C18,p=3,\{2I\})$. https://arxiv.org/abs/2512.03213

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